Scheduling Activities for the Patrol Boat Force

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1 Scheduling Aciviies for he Parol Boa Force Ping Cao, Greg Searle DSTO Defence Sysems Analysis Division Mark Horn, Houyuan Jiang, Phil Kilby CSIRO Mahemaical and Informaion Sciences July 2003

2 Repor Documenaion Page Form Approved OMB No Public reporing burden for he collecion of informaion is esimaed o average 1 hour per response, including he ime for reviewing insrucions, searching exising daa sources, gahering and mainaining he daa needed, and compleing and reviewing he collecion of informaion. Send commens regarding his burden esimae or any oher aspec of his collecion of informaion, including suggesions for reducing his burden, o Washingon Headquarers Services, Direcorae for Informaion Operaions and Repors, 1215 Jefferson Davis Highway, Suie 1204, Arlingon VA Respondens should be aware ha nowihsanding any oher provision of law, no person shall be subjec o a penaly for failing o comply wih a collecion of informaion if i does no display a currenly valid OMB conrol number. 1. REPORT DATE 01 OCT REPORT TYPE N/A 3. DATES COVERED - 4. TITLE AND SUBTITLE Scheduling Aciviies for he Parol Boa Force 5a. CONTRACT NUMBER 5b. GRANT NUMBER 5c. PROGRAM ELEMENT NUMBER 6. AUTHOR(S) 5d. PROJECT NUMBER 5e. TASK NUMBER 5f. WORK UNIT NUMBER 7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) DSTO Defence Sysems Analysis Division 8. PERFORMING ORGANIZATION REPORT NUMBER 9. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR S ACRONYM(S) 12. DISTRIBUTION/AVAILABILITY STATEMENT Approved for public release, disribuion unlimied 11. SPONSOR/MONITOR S REPORT NUMBER(S) 13. SUPPLEMENTARY NOTES See also ADM Proceedings, Held in Sydney, Ausralia on July 8-10, 2003., The original documen conains color images. 14. ABSTRACT 15. SUBJECT TERMS 16. SECURITY CLASSIFICATION OF: 17. LIMITATION OF ABSTRACT UU a. REPORT unclassified b. ABSTRACT unclassified c. THIS PAGE unclassified 18. NUMBER OF PAGES 18 19a. NAME OF RESPONSIBLE PERSON Sandard Form 298 (Rev. 8-98) Prescribed by ANSI Sd Z39-18

3 Overview Inroducion The scheduling asks Problem-solving scheme Cos formulaions The sofware Possible furher developmen July 2003 Page 2

4 Inroducion CBM: scheduling crews also mainenances and pors. crews, boas, missions Carried ou by CSIRO wih DSTO, for he Replacemen Parol Boas projec. July 2003 Page 3

5 Scheduling asks summary Main asks: Se imings for missions and mainenances Deermine assignmens of crews o boas Consruc week-by-week schedule of aciviies for each boa and each crew. We assume a 12-monh planning period, wih one-week granulariy of ime. Muli-crewing makes for complexiy and is a primary driver of he projec. July 2003 Page 4

6 Scheduling asks - objecives 1 Spread imings evenly in each mission-group 2 Regular operaional cycles for crews 3a Leave during school holidays 3b A leas one leave during school holidays 3c Spread leave evenly in year 3d Desired leave block sizes 5 Minimise hand-overs 6 Minimise remoe hand-overs July 2003 Page 5

7 Scheduling asks consrains 1 1 Include UUC 2 Include all planned missions 3 Limied boas 4 Limied mission-ime 5 Boas available for surge 6 Resriced mainenance faciliies in pors 7 All missions assigned o crews 8 One aciviy a a ime per crew 9 Operaional workload limi 10a Leave quoa per crew 10b Minimum leave block size July 2003 Page 6

8 Scheduling asks consrains 2 12 A mos one workup mission per crew 13 Training every operaional cycle 15 All boa aciviies assigned o boas 16 One aciviy a a ime per boa 17 Boa mus have crew assigned 18 Limi no. of crews assigned o a boa 19 Limi no. of boas a crew is assigned o 20 Mainenance a crew's home por 21 Workup follow-up July 2003 Page 7

9 Problem-solving scheme 1. Generae a Flee Aciviy Schedule (FAS), wih imings for all mainenances and missions. 2. Generae a Combined Operaions Plan (COP), wih mainenances and missions assigned o crews, boas and pors. 3. Define deails of leave and raining for each crew in he COP. July 2003 Page 8

10 Problem-solving scheme: FAS Mission imings Mainenance imings July 2003 Page 9

11 Problem-solving scheme: COP Crews: week-by-week deploymens, leave, raining Crew 01: Crew 02: Crew 03: Crew 04: leave leave leave leave leave ec... Boas: week-by-week deploymens and mainenance Boa 01: Boa 02: Boa 03: ec... July 2003 Page 10

12 Local search echniques Seepes-descen improvemen: ake an arbirary saring plan and make he mos-improving small change. Repea unil no furher change is possible. Simulaed annealing: like improvemen, wih emporary reducions in qualiy. We sar ho (allowing random changes) and proceed slowly o a cooled sae, aiming for an well-ordered oucome. July 2003 Page 11

13 COP annealing (11B18CSA01-CopSA-2) COP cos during annealing - firs 1000 accepances Changes esed July 2003 Page 12

14 COP annealing (11B18CSA01-CopSA-2) Cos over ries, accepances July 2003 Page 13

15 Cos formulaion A scheduling plan comprises a FAS and a COP based on he FAS imings. For boh FAS and COP, overall soluion qualiy is measured as oal cos: Coss due o objecives, e.g. deviaions from equal-spaced imings for missions. Coss due o violaions of consrains, e.g. boa-weeks in violaion of he surge condiion. Some consrains are hard, some sof. July 2003 Page 14

16 Cos formulaion FAS FAS-01: cos (O: , S: 20.00, H: 0.00)... [O1] Mission-group devs: x 1.00 x 1 = [O3a] Avoid school hols: 120 x 1.00 x 1 = [C3] Toal boas used: 0 x x 1 = 0.00 [0 weeks] [C4] Monhly miss-imes: 0.00 x x 1 = 0.00 [0 mhs..] [C5] Surge available: 2 x x 1 = [2 weeks] [C6a] Mainenance cap: 0 x x 1 = 0.00 [0 weeks] July 2003 Page 15

17 Cos formulaion COP COP-01: cos (O: 384.0, S: 140.0, H: 0.0)... [O2] Regular op cycles: 105 x 1.0 x 1 = [O3b] School holidays: 0 x 1.0 x 9.0 = 0.0 [O5] Toal handovers: 21 x 1.0 x 9.0 = [06] Remoe handovers: 2 x 5.0 x 9.0 = 90.0 [C6b] Por capaciies: 0 x 20.0 x 1 = 0.0 [C8*] One ac per crew: 0 x x 1 = 0.0 [C9] Toal opnal weeks: 0 x 10.0 x 1 = 0.0 [C12] Workup/crew <= 1: 0 x 10.0 x 1 = 0.0 [C13] Training/cycle: 14 x 10.0 x 1 = [C16*] One ac per boa: 0 x x 1 = 0.0 [C18] Crews per boa: 0 x 10.0 x 9.0 = 0.0 [C19] Boas per crew: 0 x 10.0 x 9.0 = 0.0 [C21] Workup followup: 0 x 10.0 x 9.0 = 0.0 July 2003 Page 16

18 The sofware CBM runs on a Windows PC, in a command-promp window. I/O is mainly Excel spreadshees. Good soluions for difficul problems can be obained in minues. Technical awareness is required of users. July 2003 Page 17

19 Possible furher developmen as an operaional ool? 1. Make CBM more user-friendly, wih GUI. 2. Allow scheduling over a given calendar period insead of a sandard year. 3. Accep exising commimens, e.g. a beginning of planning period. 4. Mission prioriizaion. 5. More fairness for crews 6. Handle new scheduling condiions (squadrons?). July 2003 Page 18

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